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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR048+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:05:28 PM UTC 2026

% Result   : Theorem 3.66s 0.96s
% Output   : Proof 3.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   37 (  21 unt;   0 def)
%            Number of atoms       :   61 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   53 (  29   ~;  15   |;   5   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-4 aty)
%            Number of variables   :   32 (   2 sgn  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

fof(f30_nnf,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(nnf_transformation,[status(thm)],[f30]) ).

fof(f30_sk,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(skolemisation,[status(esa)],[f30_nnf]) ).

cnf(c30,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(esa)],[f30_sk]) ).

cnf(hi28,axiom,
    ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
    inference(equality_encoding,[status(esa)],[c30]) ).

fof(f39,conjecture,
    ? [ARG2] :
      ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x45_y9,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query48) ).

fof(f39_neg,negated_conjecture,
    ~ ? [ARG2] :
        ( mtvisible(c_tptpgeo_spindlecollectormt)
       => borderson(c_georegion_l4_x45_y9,ARG2) ),
    inference(negated_conjecture,[status(cth)],[f39]) ).

fof(f39_nnf,plain,
    ! [ARG2] :
      ( ~ borderson(c_georegion_l4_x45_y9,ARG2)
      & mtvisible(c_tptpgeo_spindlecollectormt) ),
    inference(nnf_transformation,[status(thm)],[f39_neg]) ).

fof(f39_sk,plain,
    ! [ARG2] :
      ( ~ borderson(c_georegion_l4_x45_y9,ARG2)
      & mtvisible(c_tptpgeo_spindlecollectormt) ),
    inference(skolemisation,[status(esa)],[f39_nnf]) ).

cnf(c39,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

cnf(hi37,negated_conjecture,
    mtvisible(c_tptpgeo_spindlecollectormt) = true,
    inference(equality_encoding,[status(esa)],[c39]) ).

fof(f0,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

fof(f0_nnf,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
    inference(nnf_transformation,[status(thm)],[f0]) ).

cnf(c0,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
    inference(cnf_transformation,[status(esa)],[f0_nnf]) ).

cnf(hi0,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt) = true,
    inference(equality_encoding,[status(esa)],[c0]) ).

cnf(h2,plain,
    mtvisible(c_tptpgeo_member1_mt) = true,
    inference(hyper_resolution,[status(thm)],[hi28,hi37,hi0]) ).

fof(f1,axiom,
    ( mtvisible(c_tptpgeo_member1_mt)
   => borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).

fof(f1_nnf,plain,
    ( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
    | ~ mtvisible(c_tptpgeo_member1_mt) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
    | ~ mtvisible(c_tptpgeo_member1_mt) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
    | ~ mtvisible(c_tptpgeo_member1_mt) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(hi1,axiom,
    ifeq(mtvisible(c_tptpgeo_member1_mt),true,borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10),true) = true,
    inference(equality_encoding,[status(esa)],[c1]) ).

cnf(h5,plain,
    borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) = true,
    inference(hyper_resolution,[status(thm)],[hi1,h2]) ).

cnf(c40,plain,
    ~ borderson(c_georegion_l4_x45_y9,X0),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

cnf(hi40,negated_conjecture,
    ifeq(borderson(c_georegion_l4_x45_y9,X0),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c40]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi40,h5]) ).

cnf(t127,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f2,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just3) ).

fof(f2_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

fof(f29,axiom,
    ! [X] : ~ borderson(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).

fof(f29_nnf,plain,
    ! [X] : ~ borderson(X,X),
    inference(nnf_transformation,[status(thm)],[f29]) ).

fof(f29_sk,plain,
    ! [X] : ~ borderson(X,X),
    inference(skolemisation,[status(esa)],[f29_nnf]) ).

cnf(c29,plain,
    ~ borderson(X0,X0),
    inference(cnf_transformation,[status(esa)],[f29_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c2,c29,c40]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t127]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR048+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37  % Computer : n010.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 08:32:48 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.66/0.96  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.66/0.96  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------